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Finding the Fourth Proportional to 9,796.41, 14,696.82 and 3,223.26

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Solution

The fourth proportional to 9,796.41, 14,696.82 and 3,223.26 is: 4,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.41 : 14,696.82 = 3,223.26 : x
  2. Step 2: Convert to fraction form
    9,796.41/14,696.82 = 3,223.26/x
  3. Step 3: Cross multiply
    9,796.41x = 14,696.82 × 3,223.26
  4. Step 4: Simplify right side
    9,796.41x = 47,371,672.03
  5. Step 5: Solve for x
    x = 47,371,672.03/9,796.41
  6. Step 6: Final answer
    x = 4,835.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.